{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T05:23:03Z","timestamp":1761110583994,"version":"3.40.5"},"reference-count":39,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T00:00:00Z","timestamp":1600473600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Intelligence and Neuroscience"],"published-print":{"date-parts":[[2020,9,19]]},"abstract":"<jats:p>Heavy-tailed distributions play an important role in modeling data in actuarial and financial sciences. In this article, a new method is suggested to define new distributions suitable for modeling data with a heavy right tail. The proposed method may be named as the Z-family of distributions. For illustrative purposes, a special submodel of the proposed family, called the Z-Weibull distribution, is considered in detail to model data with a heavy right tail. The method of maximum likelihood estimation is adopted to estimate the model parameters. A brief Monte Carlo simulation study for evaluating the maximum likelihood estimators is done. Furthermore, some actuarial measures such as value at risk and tail value at risk are calculated. A simulation study based on these actuarial measures is also done. An application of the Z-Weibull model to the earthquake insurance data is presented. Based on the analyses, we observed that the proposed distribution can be used quite effectively in modeling heavy-tailed data in insurance sciences and other related fields. Finally, Bayesian analysis and performance of Gibbs sampling for the earthquake data have also been carried out.<\/jats:p>","DOI":"10.1155\/2020\/7631495","type":"journal-article","created":{"date-parts":[[2020,9,19]],"date-time":"2020-09-19T23:31:09Z","timestamp":1600558269000},"page":"1-20","source":"Crossref","is-referenced-by-count":13,"title":["On Modeling the Earthquake Insurance Data via a New Member of the T-<i>X<\/i> Family"],"prefix":"10.1155","volume":"2020","author":[{"given":"Zubair","family":"Ahmad","sequence":"first","affiliation":[{"name":"Department of Statistics, Yazd University, P.O. Box 89175-741, Yazd, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6109-7342","authenticated-orcid":true,"given":"Eisa","family":"Mahmoudi","sequence":"additional","affiliation":[{"name":"Department of Statistics, Yazd University, P.O. 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